2242412220224 has 112 divisors (see below), whose sum is σ = 5101816527360. Its totient is φ = 967946749440.

The previous prime is 2242412220161. The next prime is 2242412220253. The reversal of 2242412220224 is 4220222142422.

It is a super-2 number, since 2×2242412220224² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752527 + ... + 2748849.

It is an arithmetic number, because the mean of its divisors is an integer number (45551933280).

Almost surely, 2^{2242412220224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242412220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550908263680).

2242412220224 is an abundant number, since it is smaller than the sum of its proper divisors (2859404307136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2242412220224 is a wasteful number, since it uses less digits than its factorization.

2242412220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996508 (or 996498 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 2242412220224 its reverse (4220222142422), we get a palindrome (6462634362646).

The spelling of 2242412220224 in words is "two trillion, two hundred forty-two billion, four hundred twelve million, two hundred twenty thousand, two hundred twenty-four".